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Mohan wants to donate a rectangular plot of land for a hospital in his village. When he was asked to give dimensions of the plot, he told that if its length (x) is decreased by 50 m and breadth (y) is increased by 50 m, then its area will remain same, but if length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m2^2.

The value xx is:

Solution

✅ Correct Option: 3

From the system x−y=50x - y = 50 and 2x+y=5502x + y = 550.

Adding: 3x=600⇒x=2003x = 600 \Rightarrow x = 200 m.

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